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WHY ARE DIVIDENDS DIFFERENT FROM FCFE?

The FCFE is a measure of what a firm can afford to pay out as dividends. Dividends paid are different from the FCFE for a number

of reasons --

Desire for Stability

Future Investment Needs

Tax Factors

Signalling Prerogatives

I. THE CONSTANT GROWTH FCFE MODEL

The Model

The value of equity, under the constant growth model, is a function of the expected FCFE in the next period, the stable growth

rate and the required rate of return.

P 0 =FCFE1r gn

where,

P0 = Value of stock today

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FCFE1 = Expected FCFE next year

r = Cost of equity of the firm

gn = Growth rate in FCFE for the firm forever

This model is appropriate when

The firm has to be in steady state. This also implies that.

(1) Capital expenditure is not significantly greater than depreciation.

(2) The beta of the stock is close to one or below one.

The firm has FCFE which are significantly different from dividends, or dividends are not relevant.

The leverage is stable.

Illustration 7: FCFE Stable Growth Model: Telefonica de Espana

Rationale for using Model

Given that the market that is serves (Spain) is reaching maturity (40.5 phone lines per 100 people), and the regulations on local

pricing, it is unlikely that Telefon. Espana will be able to register above-normal growth. It is expected to grow about 10% a year in

Spanish peseta terms.

Telefonica pays out much less in dividends than it generates in FCFE.

Dividends in 1995 = 54 Pt / share

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FCFE per Share in 1995 = 86.53 Pt / share

The leverage is stable

Background Information

Current Information:

Earnings per Share = 154.53 Pt

Capital Expenditures per share = 421 Pt

Depreciation per share = 285 Pt

Change in Working Capital / Share = None

Debt Financing Ratio = 50%

Earnings, Capital Expenditures and Depreciation are all expected to grow 10% a year

The beta for the stock is 0.90, and the Spanish long bond rate is 9.50%. A premium of 6.50% is used for the Spanish market.

Valuation

Cost of Equity = 9.50% + 0.90 (6.50%) = 15.35%

Expected Growth Rate = 10.00%

Base Year FCFE

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Earnings per Share = 154.53

- (Capital Expenditures - Depreciation) (1 - Debt Ratio) = (421-285)(1-.5) = - 68.00

- (Change in Working Capital) (1 - Debt Ratio) = 0 (1-.5) = - 0.00

= FCFE = 86.53

Value per Share = 86.53 (1.10)/ (.1535 - .10) = 1779 Pt

The stock was trading for 1788 Pt in January 1996.

Illustration 8: Valuing a firm with depressed earnings: Daimler Benz

A rationale for using the FCFE Stable Model

As one of the largest firms in a mature sector, it is unlikely that Daimler Benz will be able to register super normal growth over time.

Like most German firms, the dividends paid bear no resemblance to the cash flows generated.

The leverage is stable and unlikely to change.

Background Information

The company had a loss of 38.63 DM per share in 1995, partly because of restructuring charges in aerospace and partly because of

troubles (hopefully temporary) at it automotive division.

The book value of equity in 1995 was 20.25 billion DM.

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While the return on equity in 1995 period is negative, the five-year average (1988-1993) return on equity is 10.17%.,

The company reported capital expenditures of 10.35 billion DM in 1995 and depreciation of 9.7 billion DM.

The company has traditionally financed its investment needs with 35% debt and 65% equity.

The working capital requirements are about 2.5% of revenues. The revenues in 1995 is 104 billion DM.

The stock had a beta of 1.10, relative to the Frankfurt DAX. The German long bond rate is 6%. The risk premium for the German

market is 4.5%.

In the long term, earnings are expected to grow at the same rate as the world economy (6.5%).

There are 51.30 million shares outstanding.

Valuation

Estimating FCFE

Normalized Net Income = 20,250 * 0.1017 = 2059 million DM

- (Cap Ex - Deprecn) (1- Debt Ratio) = (10,350-9700) (1-.35) = - 423 million DM

- Change in Working Capital (1 - Debt Ratio) = (.025 * .065* 104,000) * 0.65

= - 110 million DM

= Free Cash Flows to Equity = 1526 million DM

Cost of Equity = 6% + 1.10 (4.5%) = 10.95%

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Value of Equity = 1526 million DM (1.065)/ (.1095 - .065) = 36,521 million DM

Value per Share = 36,521/51.30 = 712 DM

The stock was trading for 814 DM in February 1996.

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What is wrong with this valuation? FCFE Stable

If you get a low value from this model, it may be because Solution

- capital expenditures are too high relative to depreciation Use a smaller Cap Ex or use the 2-stage model.

- working capital as a percent of revenues is too high Normalize this ratio, using historical averages.

- the beta is high for a stable firm Use a beta closer to one

If you get too high a value, it is because

- Capital expenditures are lower than depreciation Set Capital expenditures equal to depreciation

- Working capital ratioas % of revenue is negative Set equal to zero

- the expected growth rate is too high for a stable firm Use a growth rate closer to GNP growth

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II. THE TWO-STAGE FCFE MODEL

The Model

The value of any stock is the present value of the FCFE per year for the extraordinary growth period plus the present value of the

terminal price at the end of the period.

Value = PV of FCFE + PV of terminal price

= FCFEt / (1+ke)t + Pn / (1+ke)

n

where,FCFEt = Free Cashflow to Equity in year t

Pn = Price at the end of the extraordinary growth period

ke =Cost of equity during high growth phase

The terminal price is generally calculated using the infinite growth rate model,

Pn = FCFEn+1 / (ke,n - gn)

where,

ke,n = Cost of Equity during stable growth phase

gn = Growth rate after the terminal year forever.

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Calculating the terminal price

The same caveats that apply to the growth rate for the stable growth rate model, described in the previous section, apply here as well.

In addition, the assumptions made to derive the free cashflow to equity after the terminal year have to be consistent with this

assumption of stability. (Difference between capital expenditures and depreciation will narrow; Beta closer to one)

Estimating Net Capital Expenditures in Steady State

1. The Bludgeon Approach: Assume that capital expenditures offset depreciation, resulting in a net cap ex of zero.

Limitations: If net cap ex is zero, where is real growth coming from?

2. Industry Averages: Use industry average ratios of cap ex to depreciation to determine the net cap ex in stable growth. (See

Industry Average Table on last page)

Limitations: Industry averages may themselves shift over time; Firms may vary within the industry.

3. Firm-Specific Approach: Use the firms characteristics to estimate what the net cap ex will need to be in steady state. Based upon

the increase in earnings before interest and taxes and return on capital in the steady state period, the net capital expenditures can be

estimates follows:

Net Capital Expenditures in terminal year = (Increase in EBIT(1-t) in terminal year/ Estimated Return on Capital during stable growth.

Thus, if a firm with earnings before interest and taxes of $ 150 million in the last year of high growth expects growth of 5% in perpetuity

and has a return on capital of 12.5%, the net capital expenditures in the terminal year will be as follows (Tax rate=40%):

Net Cap Ex = 150 (.6) (.05)/.125 = $ 36 million

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Note that 12.5% of $ 36 million yields the earnings growth of the next year.

Capital Expenditures, Depreciation and Working Capital Ratios by SIC Code

SIC Industry Cap Exp/Rev Deprec/Rev Cap Ex/Deprec WC/Revenue Non CashWC/Revenue

1 Agricultural - Crops 7.18% 3.73% 221.07% 18.43% 13.13%2 Agricultural Production 9.03% 6.05% 174.35% 16.51% 11.21%8 Forestry 19.16% 8.28% 265.60% 8.61% 8.61%10 Fishing, Hunting and Trappin 59.28% 11.64% 308.17% 33.69% 23.19%12 Coal Mining 14.33% 8.06% 151.18% 13.03% 7.73%13 Oil and Gas Extraction 37.90% 20.61% 181.71% 11.80% 6.50%14 Mining of Non-metals 11.59% 7.26% 136.19% 14.33% 9.03%15 Building Contractors 3.87% 4.17% 110.89% 23.26% 17.96%

16 Heavy Construction 2.96% 2.67% 172.25% 2.88% 2.88%17 Construction- Special Trade 1.85% 1.68% 121.37% 16.06% 10.76%20 Food and Kindred Products 5.75% 4.02% 163.17% 10.33% 5.03%21 Tobacco Products 3.36% 3.01% 123.07% 7.46% 7.46%22 Textile Mill Products 5.92% 4.98% 111.05% 22.18% 16.88%23 Apparel & Other Finished Products 4.16% 3.40% 168.14% 33.21% 22.71%24 Lumber & Wood Products 7.04% 4.99% 210.15% 27.49% 16.99%25 Furniture & Fixtures 5.28% 3.46% 150.54% 19.48% 14.18%26 Paper & Allied Products 13.26% 5.61% 183.06% 13.44% 8.14%27 Printing & Publishing 4.86% 5.61% 95.33% 8.71% 8.71%28 Chemicals & Allied Products 8.87% 6.48% 171.24% 27.89% 17.39%29 Petroleum Refining 10.79% 7.29% 157.72% 4.78% 4.78%30 Rubber & Plastic Products 6.99% 4.32% 159.96% 21.32% 16.02%31 Leather & Leather Products 2.59% 1.63% 182.55% 23.60% 18.30%32 Stone, Clay, Glass & Concrete 8.16% 5.57% 153.12% 17.80% 12.50%33 Primary Metal Industries 6.26% 4.26% 167.93% 16.35% 11.05%34 Fabricated Metal Products 5.66% 3.98% 141.95% 26.93% 16.43%35 Industrial & Commercial Machinery 5.52% 4.80% 149.85% 24.25% 18.95%36 Electronic and Electrical Equipment 8.02% 4.50% 195.20% 35.61% 25.11%

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37 Transportation Equipment 5.00% 4.09% 133.08% 15.47% 10.17%38 Measuring, Analyzing & Controlling

Instruments5.03% 4.16% 145.18% 32.76% 22.26%

39 Miscellaneous Manufacturing 5.67% 3.85% 189.95% 29.81% 19.31%40 Railroad Transportation 17.31% 7.35% 255.77% -3.89% -3.89%41 Suburban Transit and Highway Transportation 4.49% 3.93% 114.35% 11.42% 6.12%42 Motor Freigth Transportation 12.49% 7.10% 179.36% 4.96% 4.96%44 Water Transportation 20.13% 11.22% 261.95% 6.63% 6.63%45 Air Transportation 14.77% 5.64% 243.04% 2.81% 2.81%46 Pipelines 18.12% 11.06% 170.93% -1.30% -1.30%47 Transportation Services 15.24% 6.31% 218.04% 10.66% 5.36%48 Communications 58.07% 18.29% 227.79% 18.73% 13.43%49 Electric, Gas & Sanitary Services 13.55% 9.99% 146.32% 0.89% 0.89%50 Wholesale trade - Durable goods 2.28% 1.22% 182.68% 15.08% 9.78%

51 Wholesale trade-Nondurable goods 1.36% 1.31% 115.06% 9.89% 9.89%52 Building materials, hardware & GardenDealers

5.38% 1.54% 420.83% 19.00% 13.70%

53 General Merchandise 3.83% 2.10% 195.95% 15.05% 9.75%54 Food Stores 3.72% 2.24% 170.53% 2.44% 2.44%55 Auto Dealers & Gas Service Stations 9.36% 2.75% 344.58% 1.09% 1.09%56 Apparel & Accessory Stores 5.54% 3.08% 212.30% 22.97% 17.67%57 Home Furniture, Furnishings & Equip Stores 6.90% 4.14% 270.97% 14.36% 9.06%58 Eating & Drinking Establishments 20.59% 4.86% 395.69% 7.83% 7.83%59 Miscellaneous Retail 3.62% 1.70% 250.99% 17.31% 12.01%60 Depository Institutions 1.24% 3.57% 34.78% -1.32% -1.32%

61 Non-depository Institutions 0.96% 0.75% 103.07% 0.35% 0.35%62 Security & Commodity Brokers, Dealers .. 5.09% 9.79% 61.09% 16.98% 11.68%63 Insurance Carriers 3.16% 2.53% 126.46% 17.17% 11.87%64 Insurance Agents, Brokers & Services 2.03% 2.72% 74.56% 22.45% 17.15%65 Real Estate 3.66% 3.35% 110.33% 5.56% 5.56%67 Holding & Other Investment Services 4.83% 4.81% 110.52% 7.68% 7.68%70 Hotels, Rooming Houses & Lodging Places 55.88% 6.38% 329.77% -0.10% -0.10%72 Personal Services 8.83% 6.28% 146.84% 22.92% 17.62%

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73 Business Schools 7.18% 5.07% 157.94% 33.70% 23.20%75 Auto Repair, Services & parking 22.46% 7.09% 290.58% 5.28% 5.28%76 Miscellaneous Repair Services 1.16% 1.08% 108.00% 42.36% 31.86%

78 Motion Pictures 10.08% 12.74% 266.50% 34.18% 23.68%79 Amusement & Recreation Services 25.24% 8.41% 365.09% 3.79% 3.79%80 Health Services 5.93% 3.58% 189.30% 20.73% 15.43%82 Educational Services 7.94% 5.57% 147.03% 25.03% 14.53%87 Engineering, Accounting, Research Services 45.91% 16.34% 212.40% 65.37% 54.87%

Average 11.27% 5.61% 184.95% 16.30% 11.74%

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Works best for:

firms where growth will be high and constant in the initial period and drop abruptly to stable growth after that.

Dividends are very different from FCFE or not relevant / measurable (private firms, IPOs)

Firms which dont pay dividends but have negative FCFE.

Illustration 9: Two-Stage FCFE Model: Amgen Inc

A Rationale for using the Model

Why two-stage? While Amgen has had a history of extraordinary growth, its growth is moderating because (a) it is becoming a

much larger company and (b) its products are maturing and may face competition soon.

Why FCFE? Amgen does not pay dividends, but has some FCFE. This FCFE is likely to increase as the growth rate

moderates, and the firm gets larger.

Leverage is stable.

Background Information

Current Earnings / Capital Expenditures

Earnings per share in 1995 = $ 1.95

Capital Expenditures in 1995 per share = $ 0.40

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Depreciation per share in 1995 = $0.32

Revenues per share = $ 7.45

Inputs for the High Growth Period

Length of high growth period = 5 years

Growth Rate inputs:

Return on Equity = 21.74% (This is much lower than the current return on equity of about 28%; This ROE is going to

be difficult to sustain as the firm gets larger)

Retention Ratio = 100% (The firm pays no dividends now, and is unlikely to do so in the near future because its

stockholders are more interested in price appreciation.

Expected Growth Rate = 1 * 21.74% = 21.74%

The beta during the high growth phase is expected to be 1.30

Cost of Equity = 6.00% + 1.30 (5.50%) = 13.15%

Capital expenditures, depreciation and revenues are expected to grow at the same rate as earnings (21.74%)

Working capital is expected to be 20% of revenues.

The debt ratio is approximately 9.55%; it is expected to remain unchanged.

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Inputs for the Stable Growth

Expected Growth Rate = 6%

Beta during stable growth phase = 1.10 : Cost of Equity = 6.00% + 1.1 (5.5%) = 12.05%

Capital expenditures and depreciation are assumed to continue growing 6% a year.

Working capital is expected to be 20% of revenues.

The debt ratio is expected to remain at 9.55%.

Estimating the value:

The first component of value is the present value of the expected FCFE during the high growth period.

1 2 3 4 5

Earnings $2.37 $2.89 $3.52 $4.28 $5.21

- (CapEx-Depreciation)*(1-) $0.09 $0.11 $0.13 $0.16 $0.19

- Working Capital*(1-) $0.29 $0.36 $0.43 $0.53 $0.64

Free Cashflow to Equity $1.99 $2.43 $2.95 $3.60 $4.38

Present Value @ 13.15% $1.76 $1.89 $2.04 $2.19 $2.36

PV of FCFE during high growth phase = $1.76 + $1.89 + 2.04 + 2.19 + 2.36 = $10.25

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The price at the end of the high growth phase (end of year 5), can be estimated using the constant growth model.

Terminal price = Expected FCFEn+1 / (r - gn)

Expected Earnings per share6 = 5.21 * 1.06 = $ 5.52

Expected FCFE6 = EPS6 - Net Capital Expenditures - Working Capital (1 - Debt Ratio)

= $ 5.52 - $0.20 (1-.0955) - $ 0.24 (1-.0955) = $ 5.11

Terminal price = $ 5.11 /(.1205 -.06) = $ 84.39

The present value of the terminal price can be then written as -

PV of Terminal Price =$84.39

(1.1315)5= $45.50

The cumulated present value of dividends and the terminal price can then be calculated as follows:

PV today = PV of FCFE during high growth phase + PV of Terminal Price = $10.25 + $45.50 = $55.75

Amgen was trading at $60.75 in February 1996, at the time of this analysis.

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What is wrong with this valuation? FCFE 2 Stage

If you get a extremely low value from the 2-stage FCFE, the likely culprits are

- earnings are depressed due to some reason (economy...) Use normalized earnings

- capital expenditures are significantly higher than depreciation in Offset capital expenditures by depreciation (or)

stable growth phase Reduce the difference for stable growth period

- the beta in the stable period is too high for a stable firm Use a beta closer to one.

- working capital as % of revenue is too high to sustain Use a working capital ratio closer to industry

- the use of the 2-stage model when the 3-stage model is more appropriate Use a three-stage model

If you get an extremely high value,

- earnings are inflated above normal levels Use normalized earnings

- capital expenditures offset depreciation during high growth period Capital expenditures should be set higher

- capital expenditures are less than depreciation Set capital expenditures equal to depreciation.

- the growth rate in the stable growth period is too high for stable firm Use a growth rate closer to GNP growth

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III. THE E-MODEL - A THREE STAGE FCFE MODEL

The Model

The E model calculates the present value of expected free cash flow to equity over all three stages of growth:

P0 =FCFE t

(1+ ke )t

t=1

t=n1

+ FCFEt

(1+ ke)t

t= n1+1

t=n2

+ Pn2

(1+ ke )n

where,

P0 = Value of the stock today

FCFEt = FCFE in year t

ke = Cost of equity; can vary across periods from ke during the high growth phase to ke,n during the stable growth phase

Pn2 = Terminal price at the end of transitional period = FCFEn2+1/(ke.n-gn)

n1 = End of initial high growth period

n2= End of transition period

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Caveats in using model

1. Capital Spending versus Depreciation

In the high growth phase, capital spending is likely to much larger than depreciation. In the transitional phase, the difference is likely

to narrow and capital spending and depreciation should be in rough parity in the stable growth phase.

High Stable growth Declining growth Infinite Stable growth

ga

gn

EARNINGS GROWTH RATES

Capital Spending

Depreciation

Grow at same rate Depreciation grows faster Grow at same rate

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2. Risk

Over time, as these firms get larger and more diversified, the average betas of these portfolios move towards one.

Works best for:

firms with very high growth rates currently.

firms whose dividends are significantly higher or lower than the FCFE or dividends are not measurable

firms with stable leverage

Illustration 10: Valuing America Online with the 3-stage FCFE model

Rationale for using Three-Stage FCFE Model

Why three stage? The expected growth rate in earnings is in excess of 50%, partly because of the growth in the overall market and

partly because of the firms position in the business.

Why FCFE? The firm pays out no dividends, but has negative FCFE, largely as a consequence of large capital expenditures.

The firm uses little debt (about 10%) in meeting financing requirements, and does not plan to change this in the near future.

Background Information

Current Information

Earnings per Share = $ 0.38

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Capital Spending per Share = $ 1.21

Depreciation per Share = $ 0.17

Revenues per share = $ 7.21

Working Capital as a percent of revenues = 10.00% (This is significantly lower than the current WC ratio)

Phase 1: High Growth Period

Length of the high growth period = 5 years

Expected growth rate in earnings during the period = 52% (from analyst projections and market growth)

Capital Spending, depreciation and revenues will grow 20% a year during this period (based upon past growth).

Working capital will remain at 10% of revenues

Approximately 10% of external financing will come from debt.

The beta for the high growth period is 1.60.

Phase 2: Transition period

Length of the transition period = 5 years

Growth rate will decline from 52% in year 5 to 6% in year 10 linearly.

Capital Spending will grow 6% a year in this period, while depreciation will continue to grow 12% a year.

Revenues will increase 12% a year during this period; working capital will remain 10% of revenues.

The debt ratio will remain at 10% during this period

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The beta will decline linearly from 1.60 in year 5 to 1.20 in year 10.

Phase 3: Stable Growth Phase

Earnings will grow 6% a year in perpetuity.

Capital expenditures will be 125% of depreciation during the high growth phase

Revenues will also grow 6% a year; Working capital will remain 10% of revenues.

The debt ratio will remain at 10% during this period.

The beta for the stock will be 1.20

Valuing the Stock

The following are the expected cashflows over both periods.

Year 1 2 3 4 5

High Growth Period

Earnings $0.58 $0.88 $1.33 $2.03 $3.08

(CapEx-Depreciation)*(1-0.1) $1.12 $1.34 $1.61 $1.94 $2.32

Working Capital *(1-0.1)$0.13 $0.16 $0.19 $0.22 $0.27

FCFE ($0.67) ($0.62) ($0.47) ($0.13) $0.49

Present Value ($0.58) ($0.46) ($0.30) ($0.07) $0.23

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Transition period

Year 6 7 8 9 10

Growth Rate 42.80% 33.60% 24.40% 15.20% 6.00%Cumulated Growth 42.80% 90.78% 137.33% 173.41% 189.81%

Earnings $4.40 $5.88 $7.32 $8.43 $8.94

(CapEx-Depreciation)*(1-0.1) $2.44 $2.56 $2.68 $2.81 $2.95

Working Capital *(1-0.1) $0.19 $0.22 $0.24 $0.27 $0.30

FCFE $1.77 $3.11 $4.39 $5.34 $5.69

Beta 1.52 1.44 1.36 1.28 1.2

Cost of Equity 15.86% 15.42% 14.98% 14.54% 14.10%

Present Value $0.72 $1.09 $1.34 $1.43 $1.33

The free cashflow to equity in year 11, assuming that capital expenditures are offset by depreciation, is $9.15, yielding a terminal price of

$ 112.94.

FCFE in year 11 = EPS11 - Net Cap Ex (1- Debt Ratio) -(Rev11-Rev10)*Working Capital as % of Revenues * (1- Debt Ratio)

= ($8.94*1.06) - $0.35 (1-.10) = $9.15

Cost of Equity in stable phase = 7.5% + 1.20 (5.50%) = 14.10%

Terminal price = $9.15 /(.1410-.06) = $112.94

The present value of free cashflows to equity and the terminal price is as follows:

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Present Value of FCFE in high growth phase = ($1.18)

Present Value of FCFE in transition phase = $5.91

Present Value of Terminal Price = $26.42Value of the stock = $31.15

America Online was trading at $86.75 in March 1995.

Emerging Market Illustration 11: Valuing Titan Watches (India) with the 3-stage FCFE model

Rationale for using Three-Stage FCFE Model

Why three stage? The expected growth rate in earnings is 35%, partly because the overall market is huge (while 143 watches are

purchased on average per 1000 people worldwide, only 17 are sold per 1000 are sold in India), and partly because of the companys

strong brand name.

Why FCFE? The firm pays out a dividend, but the dividend has been fixed at Rs 2.50 per share for three years. The free cash flows

to equity are much more volatile and have generally been negative in the last few years.

The firm uses little debt (about 10%) in meeting financing requirements, and does not plan to change this in the near future.

Background Information

Current Information

Earnings per Share = Rs 6.20

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Capital Spending per Share = Rs 10.40

Depreciation per Share = Rs 4.40

Revenues per share = Rs 90.00

Working Capital as a percent of revenues = 15.00%

Phase 1: High Growth Period

Length of the high growth period = 5 years

Expected growth rate in earnings during the period = 35% (from analyst projections and market growth)

Capital Spending, depreciation and revenues will grow 30% a year during this period (based upon past growth).

Working capital will remain at 15% of revenues

Approximately 10% of external financing will come from debt.

The beta for the high growth period is 1.20.

Phase 2: Transition period

Length of the transition period = 5 years

Growth rate in earnings will decline from 35% in year 5 to 12% in year 10 linearly.

Capital Spending will grow 10% a year in this period, while depreciation will continue to grow 15% a year.

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Revenues will increase 15% a year during this period; working capital will remain 15% of revenues.

The debt ratio will remain at 10% during this period

The beta will decline linearly from 1.20 in year 5 to 1.00 in year 10.

Phase 3: Stable Growth Phase

Earnings will grow 12% a year in perpetuity.

Capital expenditures will be offset by depreciation.

Revenues will also grow 12% a year; Working capital will remain 15% of revenues.

The debt ratio will remain at 10% during this period.

The beta for the stock will be 1.00

The riskfree rate for the Indian market is 11%, and a 7.50% risk premium is employed.

Valuing the Stock

The following are the expected cashflows over both periods.

Year 1 2 3 4 5

High Growth Period ( 5years)Earnings Rs8.37 Rs11.30 Rs15.25 Rs20.59 Rs27.80

- (CapEx-Depreciation)*(1-) Rs7.02 Rs9.13 Rs11.86 Rs15.42 Rs20.05

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- Chg. Working Capital *(1-) Rs3.65 Rs4.74 Rs6.16 Rs8.01 Rs10.41

FCFE (Rs2.30) (Rs2.57) (Rs2.77) (Rs2.84) (Rs2.66)

Present Value (Rs1.91) (Rs1.78) (Rs1.60) (Rs1.37) (Rs1.07)

Transition period

Year 6 7 8 9 10

Growth Rate 30.40% 25.80% 21.20% 16.60% 12.00%

Cumulated Growth 30.40% 64.04% 98.82% 131.82% 159.64%

Earnings Rs36.25 Rs45.61 Rs55.27 Rs64.45 Rs72.18

(CapEx-Depreciation)*(1-) Rs21.32 Rs22.61 Rs23.89 Rs25.17 Rs26.40

Chg. Working Capital *(1-) Rs6.77 Rs7.78 Rs8.95 Rs10.29 Rs11.84

FCFE Rs8.17 Rs15.22 Rs22.43 Rs28.99 Rs33.95

Beta 1.16 1.12 1.08 1.04 1

Cost of Equity 19.70% 19.40% 19.10% 18.80% 18.50%

Present Value Rs2.74 Rs4.28 Rs5.30 Rs5.76 Rs5.69

The free cashflow to equity in year 11, assuming that capital expenditures are offset by depreciation, is Rs 67.59, yielding a terminal

price of Rs 112.94.

FCFE in year 11 = EPS11 - (Rev11-Rev10)*Working Capital as % of Revenues * (1- Debt Ratio)

= (Rs. 72.18*1.12) - Rs. 14.73 (1-.10) = Rs 67.59

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Cost of Equity in stable phase = 11%+ 1.00* (7.50%) = 18.50%

Terminal price = Rs 67.59 /(.185-.12) = Rs. 1039.85

The present value of free cashflows to equity and the terminal price is as follows:

Present Value of FCFE in high growth phase = (Rs7.73)

Present Value of FCFE in transition phase = Rs23.77

Present Value of Terminal Price = Rs174.39

Value of the stock = Rs190.43

Titan Watches was trading at Rs 125 at the time of this analysis.

Estimation Issues for Emerging Market Companies

I. Estimating Risk Parameters

Option Limitations

1. Estimate the beta(s) by regressing returns on the stock against

returns on the market index.

Eg. Regress returns on Titan against Bombay Stock Exchange

Stock might not have been listed long

Estimates might be very noisy

2. Estimate the beta(s) by sector, rather than by company, within

the local market.

Might not be many firms in the sector.

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Eg. Estimate the betas for watch/electronic companies, and take the

average across the sector.

Too many differences across firms in each sector.

3. Use the beta from another market for a similar company.

Eg. Use the beta of a U.S. company or companies manufacturing

watches.

Risk levels might be different across countries because of

differences in operating and regulatory risk.

4. Use accounting earnings to estimate betas instead of market

prices.

Eg. Run a regression of Titan earnings against overall earnings.

Accounting earnings may be even more volatile than stock

prices.

There might not be a long enough history.

5. Use subjective risk measures - classify firms into risk classes

and calculate expected returns by risk class.

Eg. Classify Titan as high, average or low risk, and demand

appropriate returns.

Subjective judgment might be erroneous.

This approach mixes firm-specific and market risk.

6. Make no risk adjustment. All firms have the same required rate

of return.

Will be disastrous if firms are of very different risk classes.

II. Estimating Cash Flows

There is not much historical data.

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The data is unreliable.

The company and the economy are changing too fast.

While all these factors increase the uncertainty associated with the estimates, this noise is partially the result of poor information and

partially the result of

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What is wrong with this valuation? FCFE 3 Stage

If you get a extremely low value from the 3-stage FCFE, the likely culprits are

- capital expenditures are significantly higher than depreciation in Offset capital expenditures by depreciation (or)

stable growth phase Cap Ex grows slower than depreciation during

transition period

- the beta in the stable period is too high for a stable firm Use a beta closer to one.

- working capital as % of revenue is too high to sustain Use a working capital ratio closer to industry

If you get an extremely high value,

- capital expenditures offset depreciation during high growth period Capital expenditures should be set higher

- capital expenditures are less than depreciation Set capital expenditures equal to depreciation.

- Growth Period (High growth + transition) is too long Use a shorter growth period

- the growth rate in the stable growth period is too high for stable firm Use a growth rate closer to GNP growth

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FCFE Valuation versus Dividend Discount Model Valuation

a. When they are similar

where the dividends are equal to the FCFE.

where the FCFE is greater than dividends, but the excess cash is invested in projects with net present value of zero.

b. When they are different

when the FCFE is greater than the dividend and the excess cash either earns below-market interest rates or is invested in negative net

present value projects

the payment of smaller dividends than can be afforded to be paid out by a firm, lowers debt-equity ratios and may lead the firm to

become underleveraged, causing a loss in value.

In the cases where dividends are greater than FCFE, the firm will have to issue either new stock or new debt to pay these dividends

leading to at least three negative consequences for value.

One is the flotation cost on these security issues, which can be substantial for equity issues, creates an unnecessary

expenditure which decreases value.

Second, if the firm borrows the money to pay the dividends, the firm may become overleveraged (relative to the optimal)

leading to a loss in value.

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Finally, paying too much in dividends can lead to capital rationing constraints where good projects are rejected, resulting in a

loss of wealth.

3. What does it mean when they are different?

The difference between the value from the FCFE model and the value using the dividend discount model can be considered one

component of the value of controlling a firm - it measures the value of controlling dividend policy.

In the more infrequent case, where the value from the dividend discount model exceeds the value from the FCFE, the difference has

less economic meaning but can be considered a warning on the sustainability of expected dividends.

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